1. The lifetimes of a certain brand of LED light bulbs are normally distributed with a mean of 53,400 hours and a standard deviation of 2500 hours. A. If the company making these light bulbs claimed that they would last at least 50,000 hours. What proportion of light bulbs would meet the claim and last at least 50,000 hours? B. The company's marketing director wants the claimed figure to be where 98% of these new light bulbs to last longer than the amount claimed by the company's advertising? What number should be claimed so that 98% of the company's new LED light bulbs meet the claim?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 19PPS
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Look at the picture and provide interpret
INSTRUCTIONS: Show ALL WORK to receive ANY
CREDIT. You may use a formula sheet, a calculator, and
appropriate tables in the text. Points are in parentheses.
1. The lifetimes of a certain brand of LED light bulbs are
normally distributed with a mean of 53,400 hours and a
standard deviation of 2500 hours.
A. If the company making these light bulbs claimed that
they would last at least 50,000 hours. What proportion
of light bulbs would meet the claim and last at least
50,000 hours?
B. The company's marketing director wants the claimed
figure to be where 98% of these new light bulbs to last
longer than the amount claimed by the company's
advertising? What number should be claimed so that
98% of the company's new LED light bulbs meet the
claim?
Transcribed Image Text:INSTRUCTIONS: Show ALL WORK to receive ANY CREDIT. You may use a formula sheet, a calculator, and appropriate tables in the text. Points are in parentheses. 1. The lifetimes of a certain brand of LED light bulbs are normally distributed with a mean of 53,400 hours and a standard deviation of 2500 hours. A. If the company making these light bulbs claimed that they would last at least 50,000 hours. What proportion of light bulbs would meet the claim and last at least 50,000 hours? B. The company's marketing director wants the claimed figure to be where 98% of these new light bulbs to last longer than the amount claimed by the company's advertising? What number should be claimed so that 98% of the company's new LED light bulbs meet the claim?
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